Tidal Dissipation in Dual-Body, Highly Eccentric, and Non-synchronously Rotating Systems: Applications to Pluto-Charon and the Exoplanet TRAPPIST-1e

Abstract

Using the Andrade-derived Sundberg-Cooper rheology, we apply several improvements to the secular tidal evolution of TRAPPIST-1e and the early history of Pluto-Charon under the simplifying assumption of homogeneous bodies. By including higher-order eccentricity terms (up to and including $e^{20}$), we find divergences from the traditionally used $e^2$ truncation starting around $e=0.1$. Order-of-magnitude differences begin to occur for $e>0.6$. Critically, higher-order eccentricity terms activate additional spin-orbit resonances. Worlds experiencing non-synchronous rotation can fall into and out of these resonances, altering their long-term evolution. Non-zero obliquity generally does not generate significantly higher heating; however, it can considerably alter orbital and rotational evolution. Much like eccentricity, obliquity can activate new tidal modes and resonances. Tracking the dual-body dissipation within Pluto and Charon leads to faster evolution and dramatically different orbital outcomes. Based on our findings, we recommend future tidal studies on worlds with $e\ge 0.3$ to take into account additional eccentricity terms beyond $e^2$. This threshold should be lowered to $e>0.1$ if non-synchronous rotation or non-zero obliquity is under consideration. Due to the poor convergence of the eccentricity functions, studies on worlds that may experience very high eccentricity ($e\ge 0.6$) should include terms with high powers of eccentricity. We provide these equations up to $e^{10}$ for arbitrary obliquity and non-synchronous rotation. Finally, the assumption that short-period, solid-body exoplanets with $e\gtrsim 0.1$ are tidally locked in their 1:1 spin-orbit resonance should be reconsidered. Higher-order spin-orbit resonances can exist even at these relatively modest eccentricities, while previous studies have found such resonances can significantly alter stellar-driven climate.

Published in PSJ. 45 Pages, 12 Figures. Open Access Link: https://iopscience.iop.org/article/10.3847/PSJ/abc0f3

References in corpus (96)

• The NumPy array: a structure for efficient numerical computation
• Seven temperate terrestrial planets around the nearby ultracool dwarf star TRAPPIST-1
• The Occurrence Rate of Small Planets around Small Stars
• The fast spin-rotation of a young extrasolar planet
• Tidal Evolution of Close-in Extra-Solar Planets
• Equilibration in the Aftermath of the Lunar-Forming Giant Impact
• A seven-planet resonant chain in TRAPPIST-1
• The nature of the TRAPPIST-1 exoplanets
• The habitability of Proxima Centauri b II. Possible climates and Observability
• Tidal friction in close-in satellites and exoplanets. The Darwin theory re-visited
• The orbital eccentricity of small planet systems
• Formation of Kuiper Belt Binaries
• Impact of Space Weather on Climate and Habitability of Terrestrial Type Exoplanets
• Tidal Locking of Habitable Exoplanets
• An ancient extrasolar system with five sub-Earth-size planets
• Tidally Heated Terrestrial Exoplanets: Viscoelastic Response Models
• Modelling climate diversity, tidal dynamics and the fate of volatiles on TRAPPIST-1 planets
• Tidal Heating of Extra-Solar Planets
• Discovery of a planetary-sized object in the scattered Kuiper belt
• Tidal dissipation compared to seismic dissipation: in small bodies, in earths, and in superearths
• Tidal obliquity evolution of potentially habitable planets
• Resonance locking in giant planets indicated by the rapid orbital expansion of Titan
• Tidal Venuses: Triggering a Climate Catastrophe via Tidal Heating
• Obliquity Tides on Hot Jupiters
• Tidal torques. A critical review of some techniques
• Reorientation of Sputnik Planitia implies a Subsurface Ocean on Pluto
• The L 98-59 System: Three Transiting, Terrestrial-Sized Planets Orbiting a Nearby M-dwarf
• On The Origins Of Eccentric Close-in Planets
• The 55 Cnc system reassessed
• Cassini States with Dissipation: Why Obliquity Tides Cannot Inflate Hot Jupiters
• Habitable Climate Scenarios for Proxima Centauri b With a Dynamic Ocean
• Tides and the Evolution of Planetary Habitability
• Satellites of the largest Kuiper belt objects
• Mean radius and shape of Pluto and Charon from New Horizons images
• Increased Tidal Dissipation Using Advanced Rheological Models: Implications for Io and Tidally Active Exoplanets
• The First Habitable Zone Earth-sized Planet from TESS. I: Validation of the TOI-700 System
• Deformation and tidal evolution of close-in planets and satellites using a Maxwell viscoelastic rheology
• Early 2017 observations of TRAPPIST-1 with $\text{Spitzer}$
• Explicit expansion of the three-body disturbing function for arbitrary eccentricities and inclinations
• Theory of Secular Chaos and Mercury's Orbit
• Anelastic tidal dissipation in multi-layer planets
• The Small Satellites of Pluto as Observed by New Horizons
• Discovery of Rotational Modulations in the Planetary-Mass Companion 2M1207b: Intermediate Rotation Period and Heterogeneous Clouds in a Low Gravity Atmosphere
• The Pluto System After New Horizons
• Zodiacal Exoplanets in Time (ZEIT) VI: a three-planet system in the Hyades cluster including an Earth-sized planet
• Spin-orbit evolution of Mercury revisited
• The Interior Dynamics of Water Planets
• The Exoplanet Orbital Eccentricity - Multiplicity Relation and the Solar System
• The Tethered Moon
• No pseudosynchronous rotation for terrestrial planets and moons
• Viscoelastic Tidal Dissipation in Giant Planets and Formation of Hot Jupiters Through High-Eccentricity Migration
• Secular evolution of a satellite by tidal effect. Application to Triton
• Interior Structures and Tidal Heating in the TRAPPIST-1 Planets
• Mercury's capture into the 3/2 spin-orbit resonance including the effect of core-mantle friction
• Formation, tidal evolution and habitability of the Kepler-186 system
• Spin-orbit coupling for tidally evolving super-Earths
• Complete Tidal Evolution of Pluto-Charon
• Recent Tectonic Activity on Pluto Driven by Phase Changes in the Ice Shell
• From mean-motion resonances to scattered planets: Producing the Solar System, eccentric exoplanets and Late Heavy Bombardments
• Effects of Unseen Additional Planetary Perturbers on Compact Extrasolar Planetary Systems
• Obliquity evolution of extrasolar terrestrial planets
• How terrestrial planets traverse spin-orbit resonances: A camel goes through a needle's eye
• Tidal dissipation in a homogeneous spherical body. I. Methods
• A simple model of the chaotic eccentricity of Mercury
• Rotational fission of Trans-Neptunian Objects. The case of Haumea
• Equilibrium rotation of semiliquid exoplanets and satellites
• Tidal dissipation in a homogeneous spherical body. II. Three examples: Mercury, Io, and Kepler-10 b
• The effect of temperature evolution on the interior structure of H${}_2$O-rich planets
• Spin-orbital tidal dynamics and tidal heating in the TRAPPIST-1 multi-planet system
• Transit Timing Variations for Inclined and Retrograde Exoplanetary Systems
• The First Habitable Zone Earth-Sized Planet From TESS II: $Spitzer$ Confirms TOI-700 d
• Discovery of a Makemakean Moon
• Planet Formation: Statistics of spin rates and obliquities of extrasolar planets
• The multiplicity distribution of Kepler's exoplanets
• The Impact of Stellar Distances on Habitable Zone Planets
• Tidal Evolution of the Evection Resonance/Quasi-Resonance and the Angular Momentum of the Earth-Moon System
• Discovery of a satellite of the large trans-Neptunian object (225088) 2007OR10
• Tectonic Activity on Pluto After the Charon-Forming Impact
• Triton's Evolution with a Primordial Neptunian Satellite System
• Obliquity evolution of the minor satellites of Pluto and Charon
• Early formation of moons around large trans-Neptunian objects via giant impacts
• Orbital relaxation and excitation of planets tidally interacting with white dwarfs
• Spin-orbit coupling and chaotic rotation for circumbinary bodies. Application to the small satellites of the Pluto-Charon system
• On the Spin States of Habitable Zone Exoplanets Around M Dwarfs: The Effect of a Near-Resonant Companion
• Final spin states of eccentric ocean planets
• Relevance of Tidal Heating on Large TNOs
• Tides in a body librating about a spin-orbit resonance. Generalisation of the Darwin-Kaula theory
• Continuous reorientation of synchronous terrestrial planets controlled by mantle convection
• Consequences of Tidal Dissipation in a Putative Venusian Ocean
• Thermal-orbital coupled tidal heating and habitability of Martian-sized extrasolar planets around M stars
• Dynamical capture in the Pluto-Charon system
• Thermal and orbital evolution of low-mass exoplanets
• Tidal friction in satellites and planets. The new version of the creep tide theory
• The changing rotational light-curve amplitude of Varuna and evidence for a close-in satellite
• Charon: A brief history of tides
• A Pluto-Charon Sonata III. Growth of Charon from a Circum-Pluto Ring of Debris

Cited by in corpus (10)

• Tidal insights into rocky and icy bodies: An introduction and overview
• Sporadic Spin-Orbit Variations in Compact Multi-planet Systems and their Influence on Exoplanet Climate
• Stratospheric dayside-to-nightside circulation drives the 3-D ozone distribution on synchronously rotating rocky exoplanets
• Self-limited tidal heating and prolonged magma oceans in the L 98-59 system
• Tidally Heated Exomoons around $\epsilon$ Eridani b: Observability and prospects for characterization
• Exploring the Interior Structure and Mode of Tidal Heating in Enceladus
• Low rock mass fraction within trans-Neptunian objects inferred from the spin-orbit evolution of Orcus-Vanth and Salacia-Actaea
• Synchronisation of a tidal binary by inward orbital migration. The case of Pluto and Charon
• The Tidal-Thermal Evolution of the Pluto-Charon System
• Tidal evolution of the eccentric moon around dwarf planet (225088) Gonggong